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Lecture 9 Notes
Lecture 9 Notes

A Partially Truth Functional Approach to
A Partially Truth Functional Approach to

... McGee (1985) offers an instance of this form and argues for its invalidity. If one accepts his example (as we do sometimes), this is another plus for our approach. Other victories include STV's invalidation of the suspicious not(A > B) / A along with its validation of the inoffensive A > (B and C) / ...
On The Expressive Power of Three-Valued and Four
On The Expressive Power of Three-Valued and Four

Chapter 1 Logic
Chapter 1 Logic

... Since logical equivalence is defined in terms of a statement being a tautology, a truth table can be used to check if (prove that) two statements are logically equivalent. Soon we will have other methods to do this as well. ...
cs-171-15-FOL-Inference
cs-171-15-FOL-Inference

... Last unification fails: only because x can’t take values John and OJ at the same time ...
Logic Programming, Functional Programming, and Inductive
Logic Programming, Functional Programming, and Inductive

... Fitting gives examples of correctness proofs [17, pages 49–53]. His book is a unique treatment of computability theory in the context of logic programming. He presents logic programs not as first-order theories, but as ‘elementary formal systems’, which are a restricted case of inductive definitions ...
on the Complexity of Quantifier-Free Fixed-Size Bit-Vector
on the Complexity of Quantifier-Free Fixed-Size Bit-Vector

āgārjuna’s Logic N 8 8.1  N
āgārjuna’s Logic N 8 8.1 N

full text (.pdf)
full text (.pdf)

1. the language of mathematics - One Mathematical Cat, Please!
1. the language of mathematics - One Mathematical Cat, Please!

Properties of Independently Axiomatizable Bimodal Logics
Properties of Independently Axiomatizable Bimodal Logics

9. “… if and only if …”
9. “… if and only if …”

Slide 1
Slide 1

Reasoning about Programs by exploiting the environment
Reasoning about Programs by exploiting the environment

Optimality Theory and Human Sentence Processing: The Case of Coordination
Optimality Theory and Human Sentence Processing: The Case of Coordination

... somehow special, and distinct from all other structures, especially in the syntactic domain. This exceptional position for coordination is implicit in works such as Ross (1967) and others, but has recently surfaced in more explicit terms. For example, the syntactic analyses of coordination such as d ...
Optimality Theory and Human Sentence Processing: The
Optimality Theory and Human Sentence Processing: The

The Expressive Power of Modal Dependence Logic
The Expressive Power of Modal Dependence Logic

Philosophy of Language Starting issues Some things are languages
Philosophy of Language Starting issues Some things are languages

Object-Based Unawareness
Object-Based Unawareness

article in press - School of Computer Science
article in press - School of Computer Science

... 4. Intuitionistic modal logics One of the most promising applications of the result above is propositional intuitionistic modal logic. Intuitionistic modal logic is simply a modal logic with intuitionistic, rather than classical, base. The work on intuitionistic modal logic has several motivations: ...
e-Course [1332] - General Writing - Sentences
e-Course [1332] - General Writing - Sentences

... e-Course [1332] - General Writing - Sentences: Learn to write clear, concise and logical sentences applying capitalization and punctuation rules, and using accurate connectives and effective modification. e-Unit [13321] - General Writing - Capitalization & End Punctuation: Learn and apply punctuatio ...
Written
Written

... negative or fractional, so for any element (x,y) we know xy, and there is no way to pair that element with another element where x
Language acquisition without an acquisition device
Language acquisition without an acquisition device

... activation. Akhtar (1999) exposed children aged from two to four to novel verbs in a variety of word order patterns, including SOV (e.g. Elmo the car gopped). Whereas the younger children were willing to use the new verbs in SOV patterns, the four-year-olds produced only SVO order. In an extension o ...
The Logic of Compound Statements
The Logic of Compound Statements

...  We use the symbol ∨ to denote (inclusive) disjunction.  Syntax: If p and q are formulas, then p ∨ q is also a formula.  Semantics: If p is true or q is true or both are true, then p ∨ q is ...
Translating Between English and Propositional Logic
Translating Between English and Propositional Logic

< 1 ... 14 15 16 17 18 19 20 21 22 ... 38 >

Interpretation (logic)

An interpretation is an assignment of meaning to the symbols of a formal language. Many formal languages used in mathematics, logic, and theoretical computer science are defined in solely syntactic terms, and as such do not have any meaning until they are given some interpretation. The general study of interpretations of formal languages is called formal semantics.The most commonly studied formal logics are propositional logic, predicate logic and their modal analogs, and for these there are standard ways of presenting an interpretation. In these contexts an interpretation is a function that provides the extension of symbols and strings of symbols of an object language. For example, an interpretation function could take the predicate T (for ""tall"") and assign it the extension {a} (for ""Abraham Lincoln""). Note that all our interpretation does is assign the extension {a} to the non-logical constant T, and does not make a claim about whether T is to stand for tall and 'a' for Abraham Lincoln. Nor does logical interpretation have anything to say about logical connectives like 'and', 'or' and 'not'. Though we may take these symbols to stand for certain things or concepts, this is not determined by the interpretation function.An interpretation often (but not always) provides a way to determine the truth values of sentences in a language. If a given interpretation assigns the value True to a sentence or theory, the interpretation is called a model of that sentence or theory.
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