Equational treatment of first-order logic
β Scribed by J. Mycielski
- Publisher
- Springer
- Year
- 1995
- Tongue
- English
- Weight
- 578 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0002-5240
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π SIMILAR VOLUMES
We present some ΓΏrst-order probability logics. The logics allow making statements such as PΒΏs , with the intended meaning "the probability of truthfulness of is greater than or equal to s". We describe the corresponding probability models. We give a sound and complete inΓΏnitary axiomatic system for
CHARACTERIZING SECOND ORDER LOGIC WITH FIRST ORDER QU-4NTIFIERX by DAVID HAREL in Cambridge, Massachusets (U.S.A.) l) ') The author is indebted to W. J. WALKOE, A. R. MEYER, A. SHAMIR and a rcfeiee for comments on previous versions.
## Abstract We study the class of Sperner spaces, a generalized version of affine spaces, as defined in the language of pointline incidence and line parallelity. We show that, although the class of Sperner spaces is a pseudoβelementary class, it is not elementary nor even βοΈ~β__Ο__~βaxiomatizable.