cpsa-3.6.7: doc/examples/rules.xhtml
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<title>Rules and Facts</title>
<meta http-equiv="content-type" content="application/xhtml+xml; charset=UTF-8" />
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<pre>(herald "Rules and Facts")
(comment "CPSA 3.6.2")
(comment "All input read from rules.scm")</pre>
<p id="top">Trees: <a href="#t0">0</a> <a href="#t2">2</a> <a href="#t3">3</a>.</p>
<p id="t0">Tree <a href="#top">0</a>.</p>
<div>
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<pre>(defprotocol neq-test basic
(defrole init
(vars (n1 n2 text) (k skey))
(trace (send (cat n1 (enc n1 n2 k))) (recv n2))
(non-orig k)
(uniq-orig n1 n2))
(defrule neq (forall ((a mesg)) (implies (fact neq a a) (false))))
(comment "Impose an nequality constraint using facts and rules"))</pre>
<p id="k0">Item <a href="#t0">0</a>, Child: <a href="#k1">1</a>.</p>
<div>
<svg
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xmlns='http://www.w3.org/2000/svg' version='1.1'
viewBox='0 0 79.920 229.920' font-size='12.000'>
<defs>
<marker
id='arrow' orient='auto' markerWidth='5' markerHeight='10' refX='5'
refY='5'>
<path
d='M 0 0 5 5 0 10'
style='stroke-width: 2; fill: none; stroke: black;'/></marker>
</defs>
<line
x1='39.960' y1='114.960' x2='39.960' y2='189.960'
style='stroke-width: 0.960; stroke: gray;'/>
<g><title>n2</title>
<circle style='fill: red;' cx='39.960' cy='189.960' r='6.000'/></g>
<g><title>(cat n1 (enc n1 n2 k))</title>
<circle cx='39.960' cy='114.960' r='6.000'/></g>
<g><title>((n1 n1) (n2 n2) (k k))</title>
<text x='39.960' y='77.460' style='text-anchor: middle;'>init</text>
</g>
<text
x='39.960' y='39.960' style='text-anchor: middle;'>neq-test 0</text>
</svg></div>
<pre>(defskeleton neq-test
(vars (n1 n2 text) (k skey))
(defstrand init 2 (n1 n1) (n2 n2) (k k))
(non-orig k)
(uniq-orig n1 n2)
(comment "This skeleton should have a shape")
(label 0)
(unrealized (0 1))
(origs (n1 (0 0)) (n2 (0 0)))
(comment "1 in cohort - 1 not yet seen"))</pre>
<p id="k1">Item <a href="#t0">1</a>, Parent: <a href="#k0">0</a>.</p>
<div>
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xmlns='http://www.w3.org/2000/svg' version='1.1'
viewBox='0 0 79.920 229.920' font-size='12.000'>
<defs>
<marker
id='arrow' orient='auto' markerWidth='5' markerHeight='10' refX='5'
refY='5'>
<path
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</defs>
<line
x1='39.960' y1='114.960' x2='39.960' y2='189.960'
style='stroke-width: 0.960; stroke: gray;'/>
<g><title>n1</title>
<circle style='fill: blue;' cx='39.960' cy='189.960' r='6.000'/></g>
<g><title>(cat n1 (enc n1 n1 k))</title>
<circle cx='39.960' cy='114.960' r='6.000'/></g>
<g><title>((n1 n1) (n2 n1) (k k))</title>
<text x='39.960' y='77.460' style='text-anchor: middle;'>init</text>
</g>
<text
x='39.960' y='39.960'
style='text-anchor: middle;'>neq-test 1 (realized)</text></svg></div>
<pre>(defskeleton neq-test
(vars (n1 text) (k skey))
(defstrand init 2 (n1 n1) (n2 n1) (k k))
(non-orig k)
(uniq-orig n1)
(operation nonce-test (displaced 1 0 init 1) n2 (0 1) (enc n1 n2 k))
(label 1)
(parent 0)
(unrealized)
(shape)
(maps ((0) ((n1 n1) (n2 n1) (k k))))
(origs (n1 (0 0))))</pre>
<p id="t2">Tree <a href="#top">2</a>.</p>
<div>
<svg
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xmlns='http://www.w3.org/2000/svg' version='1.1'
viewBox='0 0 79.920 79.920' font-size='12.000'>
<text
x='39.960' y='26.040' style='text-anchor: middle; fill: red;'
onclick='window.open("#k2", "_self")'>2</text>
</svg></div>
<pre>(defprotocol neq-test basic
(defrole init
(vars (n1 n2 text) (k skey))
(trace (send (cat n1 (enc n1 n2 k))) (recv n2))
(non-orig k)
(uniq-orig n1 n2))
(defrule neq (forall ((a mesg)) (implies (fact neq a a) (false))))
(comment "Impose an nequality constraint using facts and rules"))</pre>
<p id="k2">Item <a href="#t2">2</a>.</p>
<div>
<svg
class='diagram' width='79.920pt' height='229.920pt'
xmlns='http://www.w3.org/2000/svg' version='1.1'
viewBox='0 0 79.920 229.920' font-size='12.000'>
<defs>
<marker
id='arrow' orient='auto' markerWidth='5' markerHeight='10' refX='5'
refY='5'>
<path
d='M 0 0 5 5 0 10'
style='stroke-width: 2; fill: none; stroke: black;'/></marker>
</defs>
<line
x1='39.960' y1='114.960' x2='39.960' y2='189.960'
style='stroke-width: 0.960; stroke: gray;'/>
<g><title>n2</title>
<circle style='fill: red;' cx='39.960' cy='189.960' r='6.000'/></g>
<g><title>(cat n1 (enc n1 n2 k))</title>
<circle cx='39.960' cy='114.960' r='6.000'/></g>
<g><title>((n1 n1) (n2 n2) (k k))</title>
<text x='39.960' y='77.460' style='text-anchor: middle;'>init</text>
</g>
<text
x='39.960' y='39.960' style='text-anchor: middle;'>neq-test 2</text>
</svg></div>
<pre>(defskeleton neq-test
(vars (n1 n2 text) (k skey))
(defstrand init 2 (n1 n1) (n2 n2) (k k))
(non-orig k)
(uniq-orig n1 n2)
(facts (neq n1 n2))
(comment "This skeleton should have no shapes")
(label 2)
(unrealized (0 1))
(origs (n1 (0 0)) (n2 (0 0)))
(comment "empty cohort"))</pre>
<p id="t3">Tree <a href="#top">3</a>.</p>
<div>
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<text
x='139.800' y='26.040'
style='font-weight: bold; text-anchor: middle; fill: blue;'
onclick='window.open("#k5", "_self")'>5</text>
<line
x1='89.880' y1='39.960' x2='139.800' y2='39.960'
style='stroke-width: 0.960; stroke: gray;'/>
<text
x='89.880' y='26.040' style='text-anchor: middle; fill: black;'
onclick='window.open("#k4", "_self")'>4</text>
<line
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style='stroke-width: 0.960; stroke: gray;'/>
<text
x='39.960' y='26.040' style='text-anchor: middle; fill: black;'
onclick='window.open("#k3", "_self")'>3</text>
</svg></div>
<pre>(defprotocol doorsep basic
(defrole person
(vars (d p akey) (k skey) (t text))
(trace (send (enc (enc k (invk p)) d)) (recv (enc t k)) (send t)))
(defrole door
(vars (d p akey) (k skey) (t text))
(trace (recv (enc (enc k (invk p)) d)) (send (enc t k)) (recv t)))
(defrule trust
(forall ((z strd) (p d akey))
(implies
(and (p "person" z 1) (p "person" "p" z p) (p "person" "d" z d)
(non (invk p)))
(non (invk d))))
(comment "The trust rule"))
(comment "Door Simple Example Protocol"))</pre>
<p id="k3">Item <a href="#t3">3</a>, Child: <a href="#k4">4</a>.</p>
<div>
<svg
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xmlns='http://www.w3.org/2000/svg' version='1.1'
viewBox='0 0 79.920 304.920' font-size='12.000'>
<defs>
<marker
id='arrow' orient='auto' markerWidth='5' markerHeight='10' refX='5'
refY='5'>
<path
d='M 0 0 5 5 0 10'
style='stroke-width: 2; fill: none; stroke: black;'/></marker>
</defs>
<line
x1='39.960' y1='114.960' x2='39.960' y2='264.960'
style='stroke-width: 0.960; stroke: gray;'/>
<g><title>t</title>
<circle style='fill: blue;' cx='39.960' cy='264.960' r='6.000'/></g>
<g><title>(enc t k)</title>
<circle cx='39.960' cy='189.960' r='6.000'/></g>
<g><title>(enc (enc k (invk p)) d)</title>
<circle style='fill: red;' cx='39.960' cy='114.960' r='6.000'/></g>
<g><title>((t t) (k k) (d d) (p p))</title>
<text x='39.960' y='77.460' style='text-anchor: middle;'>door</text>
</g>
<text
x='39.960' y='39.960' style='text-anchor: middle;'>doorsep 3</text>
</svg></div>
<pre>(defskeleton doorsep
(vars (t text) (k skey) (p d akey))
(defstrand door 3 (t t) (k k) (d d) (p p))
(non-orig (invk p))
(comment "Analyze from the doors's perspective")
(label 3)
(unrealized (0 0))
(origs)
(comment "1 in cohort - 1 not yet seen"))</pre>
<p id="k4">Item <a href="#t3">4</a>, Parent: <a href="#k3">3</a>, Child: <a href="#k5">5</a>.</p>
<div>
<svg
class='diagram' width='179.880pt' height='304.920pt'
xmlns='http://www.w3.org/2000/svg' version='1.1'
viewBox='0 0 179.880 304.920' font-size='12.000'>
<defs>
<marker
id='arrow' orient='auto' markerWidth='5' markerHeight='10' refX='5'
refY='5'>
<path
d='M 0 0 5 5 0 10'
style='stroke-width: 2; fill: none; stroke: black;'/></marker>
</defs>
<line
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style='stroke-width: 0.960; stroke: gray;'/>
<line
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style='stroke-width: 0.960; stroke: gray;'/>
<path
d='M 139.920 114.960 Q 92.940 114.960 45.960 114.960'
style='stroke-dasharray: 6.000,2.400; stroke-width: 0.960; stroke: black; marker-end: url(#arrow); fill: none;'/>
<g><title>(enc (enc k (invk p)) d-0)</title>
<circle cx='139.920' cy='114.960' r='6.000'/></g>
<g><title>t</title>
<circle style='fill: blue;' cx='39.960' cy='264.960' r='6.000'/></g>
<g><title>(enc t k)</title>
<circle cx='39.960' cy='189.960' r='6.000'/></g>
<g><title>(enc (enc k (invk p)) d)</title>
<circle style='fill: red;' cx='39.960' cy='114.960' r='6.000'/></g>
<g><title>((k k) (d d-0) (p p))</title>
<text
x='139.920' y='77.460' style='text-anchor: middle;'>person</text>
</g>
<g><title>((t t) (k k) (d d) (p p))</title>
<text x='39.960' y='77.460' style='text-anchor: middle;'>door</text>
</g>
<text
x='89.940' y='39.960' style='text-anchor: middle;'>doorsep 4</text>
</svg></div>
<pre>(defskeleton doorsep
(vars (t text) (k skey) (p d d-0 akey))
(defstrand door 3 (t t) (k k) (d d) (p p))
(defstrand person 1 (k k) (d d-0) (p p))
(precedes ((1 0) (0 0)))
(non-orig (invk p) (invk d-0))
(rule trust)
(operation encryption-test (added-strand person 1) (enc k (invk p))
(0 0))
(label 4)
(parent 3)
(unrealized (0 0))
(comment "1 in cohort - 1 not yet seen"))</pre>
<p id="k5">Item <a href="#t3">5</a>, Parent: <a href="#k4">4</a>.</p>
<div>
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xmlns='http://www.w3.org/2000/svg' version='1.1'
viewBox='0 0 179.880 304.920' font-size='12.000'>
<defs>
<marker
id='arrow' orient='auto' markerWidth='5' markerHeight='10' refX='5'
refY='5'>
<path
d='M 0 0 5 5 0 10'
style='stroke-width: 2; fill: none; stroke: black;'/></marker>
</defs>
<line
x1='139.920' y1='114.960' x2='139.920' y2='114.960'
style='stroke-width: 0.960; stroke: gray;'/>
<line
x1='39.960' y1='114.960' x2='39.960' y2='264.960'
style='stroke-width: 0.960; stroke: gray;'/>
<path
d='M 139.920 114.960 Q 92.940 114.960 45.960 114.960'
style='stroke-width: 0.960; stroke: black; marker-end: url(#arrow); fill: none;'/>
<g><title>(enc (enc k (invk p)) d)</title>
<circle cx='139.920' cy='114.960' r='6.000'/></g>
<g><title>t</title>
<circle style='fill: blue;' cx='39.960' cy='264.960' r='6.000'/></g>
<g><title>(enc t k)</title>
<circle cx='39.960' cy='189.960' r='6.000'/></g>
<g><title>(enc (enc k (invk p)) d)</title>
<circle style='fill: blue;' cx='39.960' cy='114.960' r='6.000'/></g>
<g><title>((k k) (d d) (p p))</title>
<text
x='139.920' y='77.460' style='text-anchor: middle;'>person</text>
</g>
<g><title>((t t) (k k) (d d) (p p))</title>
<text x='39.960' y='77.460' style='text-anchor: middle;'>door</text>
</g>
<text
x='89.940' y='39.960'
style='text-anchor: middle;'>doorsep 5 (realized)</text></svg></div>
<pre>(defskeleton doorsep
(vars (t text) (k skey) (p d akey))
(defstrand door 3 (t t) (k k) (d d) (p p))
(defstrand person 1 (k k) (d d) (p p))
(precedes ((1 0) (0 0)))
(non-orig (invk p) (invk d))
(operation encryption-test (contracted (d-0 d)) (enc k (invk p)) (0 0)
(enc (enc k (invk p)) d))
(label 5)
(parent 4)
(unrealized)
(shape)
(maps ((0) ((p p) (d d) (k k) (t t))))
(origs))</pre>
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