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The Sigma-Semantics: A Comprehensive Semantics for Functional Programs

Chitil, Olaf (1996) The Sigma-Semantics: A Comprehensive Semantics for Functional Programs. Technical report. RWTH Aachen, Aachen, Germany AIB-07-1996. (doi:AIB-07-1996) (KAR id:21372)


A comprehensive semantics for functional programs is presented, which generalizes the well-known call-by-value and call-by-name semantics. By permitting a separate choice between call-by value and call-by-name for every argument position of every function and parameterizing the semantics by this choice we abstract from the parameter-passing mechanism. Thus common and distinguishing features of all instances of the sigma-semantics, especially call-by-value and call-by-name semantics, are highlighted. Furthermore, a property can be validated for all instances of the sigma-semantics by a single proof. This is employed for proving the equivalence of the given denotational (fixed-point based) and two operational (reduction based) definitions of the sigma-semantics. We present and apply means for very simple proofs of equivalence with the denotational sigma-semantics for a large class of reduction-based sigma-semantics. Our basis are simple first-order constructor-based functional programs with patterns.

Item Type: Reports and Papers (Technical report)
DOI/Identification number: AIB-07-1996
Additional information: Pre-version of the Fundamenta Informaticae paper.
Subjects: Q Science > QA Mathematics (inc Computing science) > QA 76 Software, computer programming,
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Computing
Depositing User: Olaf Chitil
Date Deposited: 03 Sep 2009 18:53 UTC
Last Modified: 16 Nov 2021 09:59 UTC
Resource URI: (The current URI for this page, for reference purposes)

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