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Probabilistic operational semantics for the lambda calculus

Ugo Dal LagoMargherita Zorzi — 2012

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

Probabilistic operational semantics for a nondeterministic extension of pure -calculus is studied. In this semantics, a term evaluates to a (finite or infinite) distribution of values. Small-step and big-step semantics, inductively and coinductively defined, are given. Moreover, small-step and big-step semantics are shown to produce identical outcomes, both in call-by-value and in call-by-name. Plotkin’s CPS translation is extended to accommodate the choice operator and shown correct with respect...

Probabilistic operational semantics for the lambda calculus

Ugo Dal LagoMargherita Zorzi — 2012

RAIRO - Theoretical Informatics and Applications

Probabilistic operational semantics for a nondeterministic extension of pure -calculus is studied. In this semantics, a term evaluates to a (finite or infinite) distribution of values. Small-step and big-step semantics, inductively and coinductively defined, are given. Moreover, small-step and big-step semantics are shown to produce identical outcomes, both in call-by-value and in call-by-name. Plotkin’s CPS translation is extended to accommodate the choice operator and shown correct with respect...

Probabilistic operational semantics for the lambda calculus

Ugo Dal LagoMargherita Zorzi — 2012

RAIRO - Theoretical Informatics and Applications

Probabilistic operational semantics for a nondeterministic extension of pure -calculus is studied. In this semantics, a term evaluates to a (finite or infinite) distribution of values. Small-step and big-step semantics, inductively and coinductively defined, are given. Moreover, small-step and big-step semantics are shown to produce identical outcomes, both in call-by-value and in call-by-name. Plotkin’s CPS translation is extended to accommodate the choice operator and shown correct with respect...

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