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1 Non-deterministic Phase Semantics and the Undecidability of
1 Non-deterministic Phase Semantics and the Undecidability of

... generally a separation algebra in the case of Abstract Separation Logic [Calcagno et al. 2007]; see also [Larchey-Wendling and Galmiche 2009] for a general discussion on these links. The Hilbert proof-system of BBI was proved complete w.r.t. relational (or non-deterministic) Kripke semantics [Galmic ...
Continuous first order logic and local stability
Continuous first order logic and local stability

... Finally, this logic is almost a special case of the continuous first order logic that Chang and Keisler studied in [CK66]. We do differ with their definitions on several crucial points, where we find they were too general, or not general enough. Our logic is a special case in that instead of allowing an ...
SLD-Resolution And Logic Programming (PROLOG)
SLD-Resolution And Logic Programming (PROLOG)

... form {L1 , ..., Ln } ∪ J, where each literal Li is in Ci for i = 1, ..., n − 1, and either Ln = A if A consists of a single literal, or Ln belongs to A. Similarly, each axiom of T2 is labeled with a set of clauses of the form {L1 , ..., Ln } ∪ J, where each literal Li is in Ci for i = 1, ..., n−1, a ...
1 Salient Features of Functional Programming
1 Salient Features of Functional Programming

Functional Programming: Scheme
Functional Programming: Scheme

CSE 477. VLSI Systems Design - University of California
CSE 477. VLSI Systems Design - University of California

... Body effect – large VSB at x - when pulling high (B is tied to GND and S charged up close to VDD) ...
The Logic of Provability
The Logic of Provability

Functional Programming Languages (LISP/ Scheme)
Functional Programming Languages (LISP/ Scheme)

Functional Programming - II
Functional Programming - II

... • A functional program consists of an expression, not a sequence of statements. • Higher-order functions are first-class citizen in the language. – It can be nameless • List processing is convenient and expressive • In ML, every expression must be well-typed. • Algebraic data types empowers the lang ...
relevance logic - Consequently.org
relevance logic - Consequently.org

pdf
pdf

... Exercise 1.9. Show that resolution may be simulated by sequent calculus where we start with one sequent per clause and all cuts are on literals. This proof system can only work with CNF formulas. However, we do not loose much by requiring input to be in CNF form. This can be seen by the following pr ...
ee462g_7pre - University of Kentucky
ee462g_7pre - University of Kentucky

... SPICE Analysis The logic circuit can be analyzed in SPICE. For this lab use the MOSFET (Level 1 NMOS) component model. This is a generic model where parameters such as Kp and Vtr can be set. Stray capacitance values can also be set; however, this lab does not request this. ...
An Operational Semantics for Declarative Multi
An Operational Semantics for Declarative Multi

Modal Logic for Artificial Intelligence
Modal Logic for Artificial Intelligence

ppt - Electrical Engineering & Computer Sciences
ppt - Electrical Engineering & Computer Sciences

... • A to Y: I.D. G1 + (Wire 1 C + G3 Input C) * L.D.D G1 + I.D. G3 • B to Y: I.D. G2 + (Wire 2 C + G3 Input C) * L.D.D. G2 + I.D. G3 • S to Y (Worst Case): I.D. Inv + (Wire 0 C + G1 Input C) * L.D.D. Inv + Internal Delay A to Y ...
CSE 477. VLSI Systems Design
CSE 477. VLSI Systems Design

Week 11: Unification, Generalized Modus
Week 11: Unification, Generalized Modus

1 Introduction to Categories and Categorical Logic
1 Introduction to Categories and Categorical Logic

Quadripartitaratio - Revistas Científicas de la Universidad de
Quadripartitaratio - Revistas Científicas de la Universidad de

... mean the same as ‘Some X is Y’, one may notice that “Some prime numbers are even” is false: 2 is the only prime number that is even: no two prime numbers are even. But, “Some prime number is even” is true: the proexample is 2. (See Corcoran 2005: “Counterexamples and Proexamples”). To be explicit, “ ...
Teach Yourself Logic 2017: A Study Guide
Teach Yourself Logic 2017: A Study Guide

Linearizing some recursive logic programs
Linearizing some recursive logic programs

... Q(X1 , . . . , Xn ) ←− Q1 (Y1,1 , . . . , Y1,n1 ), . . . , Qp (Yp,1 , . . . , Yp,np ) where X1 , . . . , Xn are variables, the Yi,j ’s are either variables or constants, Q is an intensional predicate, the Qi ’s are either intensional database predicates (i.e. relations defined by logical rules) or e ...
PDF
PDF

... we include systems stronger than arithmetical comprehension, but these will play no part in this paper. Details, general background, and results, as well as many examples of reversals, can be found in Simpson [1999], the standard text on reverse mathematics. Each of the systems is given in the langu ...
07.1-Reasoning
07.1-Reasoning

Default Reasoning in a Terminological Logic
Default Reasoning in a Terminological Logic

$doc.title

... TBD: The Pb-Free/Green conversion plan has not been defined. Pb-Free (RoHS): TI's terms "Lead-Free" or "Pb-Free" mean semiconductor products that are compatible with the current RoHS requirements for all 6 substances, including the requirement that lead not exceed 0.1% by weight in homogeneous mater ...
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Curry–Howard correspondence



In programming language theory and proof theory, the Curry–Howard correspondence (also known as the Curry–Howard isomorphism or equivalence, or the proofs-as-programs and propositions- or formulae-as-types interpretation) is the direct relationship between computer programs and mathematical proofs. It is a generalization of a syntactic analogy between systems of formal logic and computational calculi that was first discovered by the American mathematician Haskell Curry and logician William Alvin Howard. It is the link between logic and computation that is usually attributed to Curry and Howard, although the idea is related to the operational interpretation of intuitionistic logic given in various formulations by L. E. J. Brouwer, Arend Heyting and Andrey Kolmogorov (see Brouwer–Heyting–Kolmogorov interpretation) and Stephen Kleene (see Realizability). The relationship has been extended to include category theory as the three-way Curry–Howard–Lambek correspondence.
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