Higher-order Semantics And Extensionality

Game Semantics for Higher-Order Concurrency J. Laird? Department of Informatics, University of Sussex, UK [email protected] No Institute Given Abstract. We describe a denotational (game) semantics for a call-by-value functional language with multiple threads of control, which may communicate values of general type on locally declared channels.

In mathematics and logic, a higher-order logic is a form of predicate logic that is distinguished from first-order logic by additional quantifiers and, sometimes, stronger semantics. Higher-order logics with their standard semantics are more expressive, but their model-theoretic properties are less well-behaved.

The project set out to transform our understanding of the logical paradoxes, their solution and significance for mathematics, philosophy and semantics. (1) We have advocated a reconception of.

Composable Semantics Using Higher-Order Attribute Grammars A DISSERTIONAT SUBMITTED TO THE ACULFTY OF THE GRADUATE SCHOOL OF THE UNIVERSITY OF MINNESOTA BY Lijesh Krishnan Manjacheri IN ARPTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF.

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4 SEMANTICS FOR HOL 11. Introduction to Higher Order Categorical Logic. Cambridge University Press, 1986. [4] DS/FMU/IED/SPC001. HOL Formalised: Language and Overview. R.D. Arthan, Lemma 1. extensionality property implies that equality for sets is an equivalence relation, this imposes no loss

If you keep pushing through the semantics, it comes down to a simple paradoxical construct: the liars set: the set of sets that do not include themselves as members, L = { s : s∉s }. The paradox is.

Operational Semantics and Program Equivalence 381 is an invariant that is true throughout the life-time of the two expressions: it is true when they are first evaluated to get functions of type int -> int (because-!a = -0 = 0 = !b at that point); and whenever those functions are applied

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Under reasonable assumptions on the type theory, it turns out that these and other versions of function extensionality are equivalent; for now see below. In any case, if the type theory has an extra axiom that implies some such version, one says that function extensionality holds. Properties Homotopy categorical semantics

We show that the implication relation, which is at the heart of assume-guarantee reasoning, has two natural semantics in the quantitative. non-deterministic, higher-order, exception-raising, and.

Game Semantics for Higher-Order Concurrency J. Laird? Department of Informatics, University of Sussex, UK [email protected] No Institute Given Abstract. We describe a denotational (game) semantics for a call-by-value functional language with multiple threads of control, which may.

A Higher Order Theory of Well-Founded Sets Roger Bishop Jones Abstract An axiomatic development in ProofPower-HOL of a higher order theory of well-founded sets. This is similar to a higher order ZFC strengthened by the assertion that every set is a member of some other set which is a (standard) model of ZFC. Created 2007/09/25

One of the things that we always say is that we can recreate all of mathematics using set theory as a basis. What does that mean? Basically, it means that given some other branch of math, which works.

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Relational Semantics for Higher-Order Programs Kamal Aboul-Hosn and Dexter Kozen {kamal,kozen}@cs.cornell.edu Department of Computer Science Cornell University Ithaca, New York 14853-7501, USA Abstract. Most previous work on the semantics of higher-order pro-grams with local state involves complex storage modeling with pointers

In mathematics and logic, a higher-order logic is a form of predicate logic that is distinguished from first-order logic by additional quantifiers and, sometimes, stronger semantics. Higher-order logics with their standard semantics are more expressive, but their model-theoretic properties are less well-behaved than those of first-order logic.

A Categorical Semantics of Higher Order Store J. Laird COGS, University of Sussex Brighton BN1 9QH, UK E-mail: [email protected] Abstract We give a categorical description of a class of sound and adequate models of a functional language with assignable variables.

The project set out to transform our understanding of the logical paradoxes, their solution and significance for mathematics, philosophy and semantics. (1) We have advocated a reconception of.

We show that the implication relation, which is at the heart of assume-guarantee reasoning, has two natural semantics in the quantitative. non-deterministic, higher-order, exception-raising, and.

One of the things that we always say is that we can recreate all of mathematics using set theory as a basis. What does that mean? Basically, it means that given some other branch of math, which works.

Many extended versions of Prolog are developed which incorporate higher-order features in logic programming languages to make programs more versatile and expressive [16, 8, 1]. In this paper, we build a model-theoretic semantics for a higher-order logic programming language which is suitable

We study simple type theory with primitive equality (STT) and its first-order fragment EFO, which restricts equality and quantification to base types but retains lambda abstraction and higher-order variables. As deductive system we employ a cut-free tableau calculus. We consider completeness, compactness,

If you keep pushing through the semantics, it comes down to a simple paradoxical construct: the liars set: the set of sets that do not include themselves as members, L = { s : s∉s }. The paradox is.

A Categorical Semantics of Higher Order Store J. Laird COGS, University of Sussex Brighton BN1 9QH, UK E-mail: [email protected] Abstract We give a categorical description of a class of sound and adequate models of a functional language with assignable variables.

Many extended versions of Prolog are developed which incorporate higher-order features in logic programming languages to make programs more versatile and expressive [16, 8, 1]. In this paper, we build a model-theoretic semantics for a higher-order logic programming language which is suitable

The project set out to transform our understanding of the logical paradoxes, their solution and significance for mathematics, philosophy and semantics. (1) We have advocated a reconception of.

To send this article to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and.

Composable Semantics Using Higher-Order Attribute Grammars A DISSERTIONAT SUBMITTED TO THE ACULFTY OF THE GRADUATE SCHOOL OF THE UNIVERSITY OF MINNESOTA BY Lijesh Krishnan Manjacheri IN ARPTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF DOCTOR OF PHILOSOPHY Eric anV Wyk November, 2012.

Apr 17, 2006  · Notre Dame Philosophical Reviews is an electronic, which he categorizes as a dispositional higher-order thought [HOT] theory. 76, 93 ff., 106, 110, 136, 144, 201) to the importance of "consumer semantics" to his whole project (he claims that his theory assumes the truth of "some or other form of consumer semantics…

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The project set out to transform our understanding of the logical paradoxes, their solution and significance for mathematics, philosophy and semantics. (1) We have advocated a reconception of.

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Under reasonable assumptions on the type theory, it turns out that these and other versions of function extensionality are equivalent; for now see below. In any case, if the type theory has an extra axiom that implies some such version, one says that function extensionality holds. Properties Homotopy categorical semantics

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