A Syntactic Characterization of Minimal Entailment
... In the following sequel, we follow the standard terminology and notation of first-order model theory, which can be found in [Bar78], Chap. A2. We restrict ourselves to a first-order language L with logical connectives ∧, ∨, ¬, ∀ and ∃ (all other connectives we treat as appropriate abbreviations). A ...
... In the following sequel, we follow the standard terminology and notation of first-order model theory, which can be found in [Bar78], Chap. A2. We restrict ourselves to a first-order language L with logical connectives ∧, ∨, ¬, ∀ and ∃ (all other connectives we treat as appropriate abbreviations). A ...
GLukG logic and its application for non-monotonic reasoning
... Given a set of atoms M and when a theory, or logic program, T is clear f to denote the complementary set LT \ M . by context we use the symbol M Moreover, given a theory T , we define the negation of the theory ¬T as the set {¬F | F ∈ T } (the negation symbol is parameterized with respect to some gi ...
... Given a set of atoms M and when a theory, or logic program, T is clear f to denote the complementary set LT \ M . by context we use the symbol M Moreover, given a theory T , we define the negation of the theory ¬T as the set {¬F | F ∈ T } (the negation symbol is parameterized with respect to some gi ...
ppt
... Lambda Calculus (PDCS 2) combinators, higher-order programming, recursion combinator, numbers, booleans ...
... Lambda Calculus (PDCS 2) combinators, higher-order programming, recursion combinator, numbers, booleans ...
Lab 1 Introduction to Lab Equipment and Combinational Logic
... Test the board by connecting the switches to the lights. These switches are “debounced”, which means that for every on-off transition of the switch, there is only one electrical change of its output. (Without specific circuitry to make that happen, the electrical signal will “bounce” up and down man ...
... Test the board by connecting the switches to the lights. These switches are “debounced”, which means that for every on-off transition of the switch, there is only one electrical change of its output. (Without specific circuitry to make that happen, the electrical signal will “bounce” up and down man ...
article in press - School of Computer Science
... 35]. A comprehensive survey can be found in [29]; for later references, see [36] and [24]. One of the motivations for intuitionistic modal logic is modelling computational phenomena. A considerable strand of work in this area is based on the work by Moggi [21] who extended a typed λ-calculus style s ...
... 35]. A comprehensive survey can be found in [29]; for later references, see [36] and [24]. One of the motivations for intuitionistic modal logic is modelling computational phenomena. A considerable strand of work in this area is based on the work by Moggi [21] who extended a typed λ-calculus style s ...
slides (modified) - go here for webmail
... A proof uses a given set of inference rules and axioms. This is called the proof system. Let H be a proof system. ` H φ means: there is a proof of φ in system H whose premises are included in `H is called the provability relation. ...
... A proof uses a given set of inference rules and axioms. This is called the proof system. Let H be a proof system. ` H φ means: there is a proof of φ in system H whose premises are included in `H is called the provability relation. ...
Functional Programming COMP2003
... 1. When the function definition is specific to a particular situation, and so can be defined and used in just one place. Usually the motive for forming the computation into a function is that it is being passed in as argument to some other functions which will use that computation in various ways, p ...
... 1. When the function definition is specific to a particular situation, and so can be defined and used in just one place. Usually the motive for forming the computation into a function is that it is being passed in as argument to some other functions which will use that computation in various ways, p ...
ON PRESERVING 1. Introduction The
... It is similarly easy to see that since every set is contained in its deductive closure by [R], and since inconsistency is preserved by supersets, given [Mon], every inference relation satisfying the three structural rules preserves consistency in the strong sense. This is all very well, but we haven ...
... It is similarly easy to see that since every set is contained in its deductive closure by [R], and since inconsistency is preserved by supersets, given [Mon], every inference relation satisfying the three structural rules preserves consistency in the strong sense. This is all very well, but we haven ...
Functional Programming
... want to pass it only once (defun consval (x) (cons val x)) An obvious solution is just to pass the function’s body (mapcar ‘(cons val x) L) It is ambiguous : we do not know which names are parameters and which ones are global “lambda expressions” come in hand (mapcar ‘(lambda (x) (cons val x)) ...
... want to pass it only once (defun consval (x) (cons val x)) An obvious solution is just to pass the function’s body (mapcar ‘(cons val x) L) It is ambiguous : we do not know which names are parameters and which ones are global “lambda expressions” come in hand (mapcar ‘(lambda (x) (cons val x)) ...
Quadripartitaratio - Revistas Científicas de la Universidad de
... need reminding that we sometimes get carried away a tad and that we sometimes need to fudge (Corcoran, 1999b). ...
... need reminding that we sometimes get carried away a tad and that we sometimes need to fudge (Corcoran, 1999b). ...
propositions and connectives propositions and connectives
... some sentences are minimal – no proper part which is also a sentence others – can be taken apart into smaller parts we can build larger sentences from smaller ones by using connectives ...
... some sentences are minimal – no proper part which is also a sentence others – can be taken apart into smaller parts we can build larger sentences from smaller ones by using connectives ...
chapter 2 - UniMAP Portal
... • Originally PLCs were designed to replace relay control logic. The cost savings using PLCs have been so significant that relay control is becoming obsolete, except for power applications. • Generally, if an application requires more than about 6 control relays, it will usually be less expensive to ...
... • Originally PLCs were designed to replace relay control logic. The cost savings using PLCs have been so significant that relay control is becoming obsolete, except for power applications. • Generally, if an application requires more than about 6 control relays, it will usually be less expensive to ...
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.