First Order Languages: Further Syntax and Semantics

Marco Caminati

Formalized Mathematics (2011)

  • Volume: 19, Issue: 3, page 179-192
  • ISSN: 1426-2630

Abstract

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Third of a series of articles laying down the bases for classical first order model theory. Interpretation of a language in a universe set. Evaluation of a term in a universe. Truth evaluation of an atomic formula. Reassigning the value of a symbol in a given interpretation. Syntax and semantics of a non atomic formula are then defined concurrently (this point is explained in [16], 4.2.1). As a consequence, the evaluation of any w.f.f. string and the relation of logical implication are introduced. Depth of a formula. Definition of satisfaction and entailment (aka entailment or logical implication) relations, see [18] III.3.2 and III.4.1 respectively.

How to cite

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Marco Caminati. "First Order Languages: Further Syntax and Semantics." Formalized Mathematics 19.3 (2011): 179-192. <http://eudml.org/doc/268157>.

@article{MarcoCaminati2011,
abstract = {Third of a series of articles laying down the bases for classical first order model theory. Interpretation of a language in a universe set. Evaluation of a term in a universe. Truth evaluation of an atomic formula. Reassigning the value of a symbol in a given interpretation. Syntax and semantics of a non atomic formula are then defined concurrently (this point is explained in [16], 4.2.1). As a consequence, the evaluation of any w.f.f. string and the relation of logical implication are introduced. Depth of a formula. Definition of satisfaction and entailment (aka entailment or logical implication) relations, see [18] III.3.2 and III.4.1 respectively.},
author = {Marco Caminati},
journal = {Formalized Mathematics},
language = {eng},
number = {3},
pages = {179-192},
title = {First Order Languages: Further Syntax and Semantics},
url = {http://eudml.org/doc/268157},
volume = {19},
year = {2011},
}

TY - JOUR
AU - Marco Caminati
TI - First Order Languages: Further Syntax and Semantics
JO - Formalized Mathematics
PY - 2011
VL - 19
IS - 3
SP - 179
EP - 192
AB - Third of a series of articles laying down the bases for classical first order model theory. Interpretation of a language in a universe set. Evaluation of a term in a universe. Truth evaluation of an atomic formula. Reassigning the value of a symbol in a given interpretation. Syntax and semantics of a non atomic formula are then defined concurrently (this point is explained in [16], 4.2.1). As a consequence, the evaluation of any w.f.f. string and the relation of logical implication are introduced. Depth of a formula. Definition of satisfaction and entailment (aka entailment or logical implication) relations, see [18] III.3.2 and III.4.1 respectively.
LA - eng
UR - http://eudml.org/doc/268157
ER -

References

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