scholarly journals Constructive predicate logic with strong negation and model theory.

1987 ◽  
Vol 29 (1) ◽  
pp. 18-27 ◽  
Author(s):  
Seiki Akama
Keyword(s):  
Model Theory ◽  
Predicate Logic ◽  
Strong Negation

scholarly journals Model theory of monadic predicate logic with the infinity quantifier

2021 ◽  
Author(s):  
Facundo Carreiro ◽  
Alessandro Facchini ◽  
Yde Venema ◽  
Fabio Zanasi
Keyword(s):  
Model Theory ◽  
Predicate Logic ◽  
Order Logic ◽  
First Order Logic ◽  
Semantic Property ◽  
First Order ◽  
Scott Continuous ◽  
Semantic Properties

AbstractThis paper establishes model-theoretic properties of $$\texttt {M} \texttt {E} ^{\infty }$$ M E ∞ , a variation of monadic first-order logic that features the generalised quantifier $$\exists ^\infty $$ ∃ ∞ (‘there are infinitely many’). We will also prove analogous versions of these results in the simpler setting of monadic first-order logic with and without equality ($$\texttt {M} \texttt {E} $$ M E and $$\texttt {M} $$ M , respectively). For each logic $$\texttt {L} \in \{ \texttt {M} , \texttt {M} \texttt {E} , \texttt {M} \texttt {E} ^{\infty }\}$$ L ∈ { M , M E , M E ∞ } we will show the following. We provide syntactically defined fragments of $$\texttt {L} $$ L characterising four different semantic properties of $$\texttt {L} $$ L -sentences: (1) being monotone and (2) (Scott) continuous in a given set of monadic predicates; (3) having truth preserved under taking submodels or (4) being truth invariant under taking quotients. In each case, we produce an effectively defined map that translates an arbitrary sentence $$\varphi $$ φ to a sentence $$\varphi ^\mathsf{p}$$ φ p belonging to the corresponding syntactic fragment, with the property that $$\varphi $$ φ is equivalent to $$\varphi ^\mathsf{p}$$ φ p precisely when it has the associated semantic property. As a corollary of our developments, we obtain that the four semantic properties above are decidable for $$\texttt {L} $$ L -sentences.

scholarly journals MODEL THEORY OF MEASURE SPACES AND PROBABILITY LOGIC

2013 ◽  
Vol 6 (3) ◽  
pp. 367-393 ◽  
Author(s):  
RUTGER KUYPER ◽  
SEBASTIAAN A. TERWIJN
Keyword(s):  
Model Theory ◽  
Predicate Logic ◽  
Unit Interval ◽  
Countable Model ◽  
Compactness Theorem ◽  
Probability Logic ◽  
Nonclassical Logic ◽  
Measure Spaces ◽  
Classical Predicate

AbstractWe study the model-theoretic aspects of a probability logic suited for talking about measure spaces. This nonclassical logic has a model theory rather different from that of classical predicate logic. In general, not every satisfiable set of sentences has a countable model, but we show that one can always build a model on the unit interval. Also, the probability logic under consideration is not compact. However, using ultraproducts we can prove a compactness theorem for a certain class of weak models.

Fixed Point Logics

2002 ◽  
Vol 8 (1) ◽  
pp. 65-88 ◽  
Author(s):  
Anuj Dawar ◽  
Yuri Gurevich
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Model Theory ◽  
Predicate Logic ◽  
Expressive Power ◽  
Finite Model ◽  
Finite Model Theory ◽  
Inductive Definitions ◽  
The Relationship ◽  
Second Order Logic

AbstractWe consider fixed point logics, i.e., extensions of first order predicate logic with operators defining fixed points. A number of such operators, generalizing inductive definitions, have been studied in the context of finite model theory, including nondeterministic and alternating operators. We review results established in finite model theory, and also consider the expressive power of the resulting logics on infinite structures. In particular, we establish the relationship between inflationary and nondeterministic fixed point logics and second order logic, and we consider questions related to the determinacy of games associated with alternating fixed points.

PENURUNAN SUHU TUBUH MENGGUNAKAN TEPID WATER SPONGING DENGAN PENDEKATAN KONSERVASI LEVINE

2019 ◽  
Vol 11 (1) ◽  
pp. 33-40
Author(s):  
Muhammad Khabib Burhanuddin Iqomh ◽  
Nani Nurhaeni ◽  
Dessie Wanda
Keyword(s):  
Body Temperature ◽  
Nursing Care ◽  
Human Body ◽  
Model Theory ◽  
Pharmacological Treatment ◽  
Scientific Work ◽  
Pharmacological Therapy ◽  
Nursing Process ◽  
Tepid Water ◽  
Conservation Model

Peningkatan suhu tubuh  menyebabkan rasa tidak nyaman, gelisah pada anak, sehingga waktu untuk istirahat menjadi terganggu.Tatalaksana pada anak dengan demam dapat dilakukan dengan metode farmakologi dan non farmakologi. Tepid water spongingmerupakan tatalaksana non farmakologi. Konservasi adalah serangkaian sistem agar tubuh manusia mampu menjalankan fungsi, beradaptasi untuk melangsungkan kehidupan. Perawat mempunyai peran untuk membantu anak dalam mengatasi gangguan termoregulasi. Karya ilmiah ini bertujuan untuk mengetahui efektifitas penurunan suhu tubuh menggunakan tepid water sponging dengan pendekatanl konservasi Levine di ruang rawat infeksi. Efektifitas diukur dalam pemberian asuhan keperawatan berdasarkan proses keperawatan yang terdapat dalam model konservasi Levine yaitu: pengkajian, menentukan trophicognosis, menentukan hipotesis, intervensi dan evaluasi. Terdapat lima kasus yang dibahas. Hasil penerapan model konservasi Levine mampu meningkatkan kemampuan anak dalam mempertahankan fungsi tubuh dan beradaptasi terhadap perubahan. Kombinasi tepid water sponging dan terapi farmakologi mampu mengatasi demam dengan cepat dibanding terapi farmakologi.   Kata kunci: termoregulasi, tepid water sponging, teori model konservasi Levine   REDUCTION OF BODY TEMPERATURE USING TEPID WATER SPONGINGWITH THE LEVINE CONSERVATION APPROACH   ABSTRACT Increased body temperature causes discomfort, anxiety in children, so that the time to rest becomes disturbed. Management of children with fever can be done by pharmacological and non-pharmacological methods. Tepid water sponging is a non-pharmacological treatment. Conservation is a series of systems so that the human body is able to function, adapt to life. Nurses have a role to help children overcome thermoregulation disorders. This scientific work aims to determine the effectiveness of decreasing body temperature using tepid water sponging with the approach of Levine conservation in the infectious care room. Effectiveness is measured in the provision of nursing care based on the nursing process contained in the Levine conservation model, namely: assessment, determining trophicognosis, determining hypotheses, intervention and evaluation. There are five cases discussed. The results of the application of the Levine conservation model are able to improve the ability of children to maintain body functions and adapt to changes. The combination of tepid water sponging and pharmacological therapy is able to overcome fever quickly compared to pharmacological therapy.   Keywords: thermoregulation, tepid water sponging, Levine conservation model theory  

Finite Model Theory

1995 ◽  
Author(s):  
Heinz-Dieter Ebbinghaus ◽  
Jörg Flum
Keyword(s):  
Model Theory ◽  
Finite Model ◽  
Finite Model Theory
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